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Finding the Fourth Proportional to 5,936.32, 8,192.80 and 3,578.32

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Solution

The fourth proportional to 5,936.32, 8,192.80 and 3,578.32 is: 4,938.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,936.32 : 8,192.80 = 3,578.32 : x
  2. Step 2: Convert to fraction form
    5,936.32/8,192.80 = 3,578.32/x
  3. Step 3: Cross multiply
    5,936.32x = 8,192.80 × 3,578.32
  4. Step 4: Simplify right side
    5,936.32x = 29,316,460.10
  5. Step 5: Solve for x
    x = 29,316,460.10/5,936.32
  6. Step 6: Final answer
    x = 4,938.49

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.